How to cage an egg.
How to draw tropical planes.
Hyperbolische Transformation konvexer Polyeder
Der Artikel beschäftigt sich mit einigen Eigenschaften von hyperbolischen, d. h. gebrochen-affinen, Transformationen, welche für die Bilder konvexer Polyeder bei solchen Transformationen von Bedeutung sind. Es wird eine explizite Darstellung des Bildes eines konvexen Polyeders durch Ecken und Kanten des Urbildpolyeders gewonnen, die Konvexität des Bildes und das Bild des relativen Inneren einer konvexen Menge untersucht.
Hyperideal polyhedra in hyperbolic 3-space
A hyperideal polyhedron is a non-compact polyhedron in the hyperbolic -space which, in the projective model for , is just the intersection of with a projective polyhedron whose vertices are all outside and whose edges all meet . We classify hyperideal polyhedra, up to isometries of , in terms of their combinatorial type and of their dihedral angles.
Hyperplane Arrangements with a Lattice of Regions.
Inequalities Between Intrinsic Volumes.
Infinitesimal deformations and Lie derivative of a non-symmetric affine connection space
Inner Illumination of Convex Polytopes
Inner Illumination of Convex Polytopes.
Interface and mixed boundary value problems on -dimensional polyhedral domains.
Intrinsic Volumes and Lattice Points of Crosspolytopes.
Introduction aux polyèdres en combinatoire d'après E. Ehrhart et R. Stanley
Invertible Relations on Polytopes.
Irregular and semi-regular polyhedral models for Rous sarcoma virus cores.
Isocanted alcoved polytopes
Through tropical normal idempotent matrices, we introduce isocanted alcoved polytopes, computing their -vectors and checking the validity of the following five conjectures: Bárány, unimodality, , flag and cubical lower bound (CLBC). Isocanted alcoved polytopes are centrally symmetric, almost simple cubical polytopes. They are zonotopes. We show that, for each dimension, there is a unique combinatorial type. In dimension , an isocanted alcoved polytope has vertices, its face lattice is the lattice...
Isometric Embeddings of Pro-Euclidean Spaces
In [12] Petrunin proves that a compact metric space X admits an intrinsic isometry into En if and only if X is a pro-Euclidean space of rank at most n, meaning that X can be written as a “nice” inverse limit of polyhedra. He also shows that either case implies that X has covering dimension at most n. The purpose of this paper is to extend these results to include both embeddings and spaces which are proper instead of compact. The main result of this paper is that any pro-Euclidean space of rank...
Isoperimetric Inequalities for Infinite Hyperplane Systems.
Isoperimetric numbers and spectral radius of some infinite planar graphs
Isoperimetric Regions in Rnwith Density rp
We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.
Kipp-Ikosaeder.